About this ebook
Building on the geometric framework of Infinitesimally Punctured Geometry, this volume develops the dynamical laws governing infinitesimally punctured spacetime. A hybrid variational principle is introduced in which smooth curvature, defect-supported curvature, and an indeterminate transition sector enter on equal footing. Variation of this action yields a master field equation that generalizes the Einstein equations and naturally incorporates defect density as a geometric source rather than an externally prescribed stress-energy tensor. Within this setting, an approach termed Infinitesimally Punctured Quantum Physics is proposed, in which a quantum object is visualized as an aggregation of infinitely many infinitesimally spaced constituents.
When these constituents are densely packed, the ensemble manifests as a continuous wave, surface, space, or manifold; when a measurement effectively isolates a single constituent, particle-like behavior emerges. This picture is linked to Neutrosophic Quantum Theory, which supplies a logical framework for handling indeterminacy in the transition between continuous and discrete regimes. Applications include regularised black hole geometries, punctured wave and Schrödinger equations, modified cosmological evolution, and geometric interpretations of dark matter and dark energy. This volume centralizes the predictive content of the theory and develops its phenomenological and observational consequences.
